Luminosity of the stars plotted against the RV period. Variable stars from the OGLE survey are plotted in green, with the subset of those showing LSPs on sequence D plotted in black. Overplotted in pink are models from the expected relations of oscillatory convective modes (Saio et al. 2015) for different stellar masses. We plot confirmed planets within the Lick sample as red circles, and confirmed intrinsically RV-variable stars that mimic planets as blue star markers. Stars with as yet undecided origins of their RV variations are shown as cyan hexagons. Stars taken from the literature are shown with reduced marker sizes and lighter shades. We mark the Hipparcos identifiers of the stars discussed in this work. We omit plotting the short-period planet hosts HIP 89587 (Teng et al. 2023a) and HIP 70791 (Takarada et al. 2018) for visual clarity. The plot is adapted from Fig. 8 of Reichert et al. (2019) and Fig. 9 of Spaeth et al. (2024).